7. Assuming the variances are equal, use the HSB data set to compare the means of male vs. female students on the (a) the science achievement score, and (b) the writing achievement score. Again: test the null hypothesis vs. the alternate hypothesis for each respective achievement score. Conduct this tests at a = 0.05. For each achievement score report the values of K, 372, the standard errors of the two means, 31,71 and 5172, the sample sizes n1, 712, the value of the test statistic: t, and the pvalue associated with this value of t. Clearly state your decision regarding the null hypothesis and your conclusion in the context of the problem. Write down the 95% condence interval for #1 ~ p2 and interpret this interval